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Finding the Third Proportional to 182,692,441,885.50 and 380,419,698,943.12

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Solution

The third proportional to 182,692,441,885.50 and 380,419,698,943.12 is: 792,146,329,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,692,441,885.50 : 380,419,698,943.12 = 380,419,698,943.12 : x
  2. Step 2: Convert to fraction form
    182,692,441,885.50/380,419,698,943.12 = 380,419,698,943.12/x
  3. Step 3: Cross multiply
    182,692,441,885.50x = 380,419,698,943.12 × 380,419,698,943.12
  4. Step 4: Simplify right side
    182,692,441,885.50x = 144,719,147,343,974,051,610,624
  5. Step 5: Solve for x
    x = 144,719,147,343,974,051,610,624/182,692,441,885.50
  6. Step 6: Final answer
    x = 792,146,329,921.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.